用隐枚举法求解下列问题:max z=3x1+2x2-5x3-2x4+3x5, s.t.x1+x2+x3+2x4+x5≤4, 7x1+3x3-4x4+3x5≤8, 11x1-
用隐枚举法求解下列问题:max z=3x1+2x2-5x3-2x4+3x5,
s.t.x1+x2+x3+2x4+x5≤4,
7x1+3x3-4x4+3x5≤8,
11x1-6x2+3x4-3x5≥3,
xj=0或1(j=1,2,…,5).
用隐枚举法求解下列问题:max z=3x1+2x2-5x3-2x4+3x5,
s.t.x1+x2+x3+2x4+x5≤4,
7x1+3x3-4x4+3x5≤8,
11x1-6x2+3x4-3x5≥3,
xj=0或1(j=1,2,…,5).
用隐枚举法求解下列0-1规划问题:
(1)min x0=2x1+5x2+3x3+4x4,
s.t.-4x1+x2+x3+x4≥0,
-2x1+4x2+2x3+4x4≥4,
x1+x2-x3+x4≥1,
xj=0或1 (j=1,2,3,4);
(2)max z=2x1-x2+5x3-3x4+4x5,
s.t.3x1-2x2+7x3-5x4+4x5≤6,
x1-x2+2x3-4x4+2x5≤0,
xj=0或1(j=1,2,…,5).
(1)min x0=2x1+5x2+3x3+4x4,
s.t.-4x1+x2+x3+x4≥0,
-2x1+4x2+2x3+4x4≥4,
x1+x2-x3+x4≥1,
xj=0或1 (j=1,2,3,4);
(2)max z=2x1-x2+5x3-3x4+4x5,
s.t.3x1-2x2+7x3-5x4+4x5≤6,
x1-x2+2x3-4x4+2x5≤0,
xj=0或1(j=1,2,…,5).
用隐枚举法求解下列问题:min x0=8x1+2x2+4x3+7x4+5x5,
s.t.3x1+3x2-x3-2x4-3x5≥2,
5x1+3x2+2x3+x4-x5≥4,
xj=0或1 (j=1,2,…,5).
用隐枚举法求解下列问题:min x0=4x1+3x2+2x3,
s.t. 2x1-5x2+3x3≤4,
4x1+x2+3x3≥3,
x2+x3≥1,
xj=0或1(j=1,2,3).
用割平面法求解下列整数线性规划问题:max z=4x1+5x2+x3,
s.t.3x1+2x2≤10,
x1+4x2≤11,
3x1+3x2+x3≤13,
xj≥0且为整数(j=1,2,3).
用割平面法求解下列整数线性规划问题:max z=3x2, s.t.3x1+2x2≤7, x1-x2≥-2, x1,x2≥0且为整数.
用割平面法求解下列整数线性规划问题:max z=3x2,
s.t.3x1+2x2≤7,
x1-x2≥-2,
x1,x2≥0且为整数.
用分枝定界法求解下列问题:max z=7x1+9x2,
s.t.-x1+3x2≤6,
7x1+x2≤35,
x1,x2≥0且x1为整数.
用分枝定界法求解下列问题:max z=5x1+8x2,
s.t.x1+x2≤6,
5x1+9x2≤45,
x1,x2≥0且均为整数.
用分枝定界法求解下列问题:max z=3x1+x2+3x3,
s.t.-x1+2x2+x3≤4,
4x2-3x3≤2,
x1-3x2+2x3≤3,
x1,x2,x3≥0且x1,x3为整数.
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